Fisher Yates Shuffle for cards or any number of items
#1
As discussed in Ranking Poker Hands:
Code: (Select All)
TopN = 52
ReDim n(1 To TopN) 'repeatable for ref
For i = 1 To TopN
    n(i) = i
Next
For i = TopN To 2 Step -1 ' Fisher Yates Shuffle of N Items
    Swap n(i), n(Int(Rnd * (i) + 1))
Next
For i = 1 To TopN
    Print "  "; i; "-"; n(i); Chr$(9);
Next
Print

At maximum you need only swap n-1 items!
b = b + ...
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#2
(06-19-2023, 11:19 PM)bplus Wrote: As discussed in Ranking Poker Hands:
Code: (Select All)
TopN = 52
ReDim n(1 To TopN) 'repeatable for ref
For i = 1 To TopN
    n(i) = i
Next
For i = TopN To 2 Step -1 ' Fisher Yates Shuffle of N Items
    Swap n(i), n(Int(Rnd * (i) + 1))
Next
For i = 1 To TopN
    Print "  "; i; "-"; n(i); Chr$(9);
Next
Print

At maximum you need only swap n-1 items!

Is this faster than 

For a = 1 To numtiles
    swop = Int(Rnd * numtiles) + 1
    Swap tiles(a), tiles(swop)
Next
To me, it looks the same, only in reverse order    Huh
Of all the places on Earth, and all the planets in the Universe, I'd rather live here (Perth, W.A.) Big Grin
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#3
Nearly as fast but you are doing one extra swap.

But more importantly, it is less efficient, you are swapping each time with a random from whole set which can cause ripples or waves that upset a normal distribution. The wiki will confirm this but the math is quite wonky.
https://en.wikipedia.org/wiki/Fisher–Yates_shuffle see Naive method which is yours basically.
b = b + ...
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#4
Thanks bplus. 
I thought there would be some subtle difference, but couldn't see what it was.
But I think I'll stick to the "Naive" method - it's simpler, and, for me, simplicity is of the essence.
Of all the places on Earth, and all the planets in the Universe, I'd rather live here (Perth, W.A.) Big Grin
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#5
(06-21-2023, 12:48 AM)PhilOfPerth Wrote: Thanks bplus. 
I thought there would be some subtle difference, but couldn't see what it was.
But I think I'll stick to the "Naive" method - it's simpler, and, for me, simplicity is of the essence.

It's subtle and I can relate to sticking with things I understand.

Certainly we've all bigger fish to fry! Smile

Thanks for checking it out and you are not alone, Steve wasn't buying the math stuff either when I posted at the other forum. Oh well... carry on
b = b + ...
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